Work Needed to Increase Electron Speed

AI Thread Summary
To calculate the work needed to increase an electron's speed from rest to 0.52c, the relativistic energy equation E=Ymc^2 is utilized, where Y is the Lorentz factor. An initial attempt yielded a result of 3.19821x10^-22 J or 1.998x10^-9 MeV, but the accuracy of this calculation was questioned. The discussion emphasizes that work equals the change in energy, leading to a realization of the correct approach. Ultimately, the participant confirms understanding after receiving clarification.
DeadxBunny
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Homework Statement


How much work must be done to increase the speed of an electron from rest to 0.52c?


Homework Equations


I don't know :)


The Attempt at a Solution


I tried E=Ymc^2 where Y = 1/[1-(v/c)^2]^1/2 and got 3.19821x10^-22 J which translates to 1.998x10^-9 MeV, but I don't think this answer is right. Could someone explain this one to me? Thanks! :biggrin:
 
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Work = change in energy.

Does that help?
 
Oh, duh! I feel stupid lol.. I got it now. Thanks! :blushing:

KoGs said:
Work = change in energy.

Does that help?
 
No problem. I love helping people feel stupid :)
 
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(Disclaimer: this is not a HW question. I am self-studying, and this felt like the type of question I've seen in this forum. If there is somewhere better for me to share this doubt, please let me know and I'll transfer it right away.) I am currently reviewing Chapter 7 of Introduction to QM by Griffiths. I have been stuck for an hour or so trying to understand the last paragraph of this proof (pls check the attached file). It claims that we can express Ψ_{γ}(0) as a linear combination of...
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